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Finding the Fourth Proportional to 1,114.06, 1,671 and 497.80

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Solution

The fourth proportional to 1,114.06, 1,671 and 497.80 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.06 : 1,671 = 497.80 : x
  2. Step 2: Convert to fraction form
    1,114.06/1,671 = 497.80/x
  3. Step 3: Cross multiply
    1,114.06x = 1,671 × 497.80
  4. Step 4: Simplify right side
    1,114.06x = 831,823.80
  5. Step 5: Solve for x
    x = 831,823.80/1,114.06
  6. Step 6: Final answer
    x = 746.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.